Abstract
This paper is concerned with the study of a Dirichlet boundary value problem for a system of two coupled anisotropic Darcy-Forchheimer-Brinkman equations on a bounded Lipschitz domain in \(\mathbb{R}^{n}=\left( 2,3\right)\). Using variational methods and fixed point techniques, we obtain a well-posedness result in \(L^{2}\)-based Sobolev spaces for sufficiently small data. As an application, we investigate numerically the lid-driven flow problem in a square cavity saturated with a bidisperse porous medium and analyze the effect of various physical parameters on the fluid motion.
Authors
Andrei Gasparovici
Faculty of Mathematics and ComputerScience, Babe¸s-Bolyai University,Cluj-Napoca, Romania
Keywords
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Paper coordinates
A. Gasparovici, On a Dirichlet problem related to anisotropic fluid flow in bidisperse porous media, Mathematical Methods in the Applied Sciences, 48 (2025) no. 3, pp. 3652-3669, https://doi.org/10.1002/mma.10506
About this paper
Journal
Mathematical Methods in the
Applied Sciences
Publisher Name
Wiley
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